| 引用本文: | 杨正全,潘小芳,张青,陈增强.具有通信时延和有向网络的多智能体分布式优化(英文)[J].控制理论与应用,2021,38(9):1414~1420.[点击复制] |
| YANG Zheng-quan,PAN Xiao-fang,ZHANG Qing,CHEN Zeng-qiang.Distributed optimization of multi-agent with communication delay and directed network[J].Control Theory and Technology,2021,38(9):1414~1420.[点击复制] |
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| 具有通信时延和有向网络的多智能体分布式优化(英文) |
| Distributed optimization of multi-agent with communication delay and directed network |
| 摘要点击 1583 全文点击 541 |
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| DOI编号 10.7641/CTA.2021.20243 |
| 2021,38(9):1414-1420 |
| 中文关键词 通信时延 多智能体系统 分布式优化 非平衡有向网络 |
| 英文关键词 communication delay multi-agent systems distributed optimization unbalanced directed network |
| 基金项目 Supported by the National Natural Science Foundation of China (51778615), the Fund of the Airport Comprehensive Transportation Research Institute (Think Tank) and the Civil Aviation University of China (20JCZHJT-4). |
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| 中文摘要 |
| 本文对非平衡有向拓扑下一阶多智能体系统的分布式优化问题进行研究. 研究的智能体在与邻居的通信过程
中都有一个变化的时延. 本文的目标是找到使得目标函数f(x) =NΣi=1fi(xi)最小的智能体的状态. 提出了一种基于有向
图的拉普拉斯矩阵的零特征值对应的左特征向量和智能体的局部信息的控制器. 在这项研究中, 去掉了fi(xi)的梯度有
界要求, 并且不要求网络平衡. 在某些假设下, 所有智能体都达到相同的状态, 同时最小化目标函数NΣi=1fi(xi). 最后, 通
过数值模拟验证了本文的研究结果. |
| 英文摘要 |
| This paper studies the distributed optimization problem for the first-order multi-agent systems in unbalanced
directed topology. Each agent has a time delay in the communication process with its neighbors. Our goal is to find a
state of the agent that minimizes the objective function f(x) =NΣi=1fi(xi). A controller based on the left eigenvector
corresponding to the zero eigenvalue of L of the graph G and the local information of each agent is proposed. In this study,
the bounded requirement of the gradient of fi(xi) is removed, and it does not require the network to be balanced. Under
some assumptions, all agents reach the same state while minimizing the objective function NΣi=1fi(xi). Finally, a numerical
simulation illustrates the results of this article. |